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LECTURE 3: Theory of Demand

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(1)

LECTURE 3: Theory of Demand

Individual Demand

Income and Substitution Effects

Market Demand

Consumer Surplus

Network Externalities

Empirical Estimation of Demand

(2)

Cost-of-Living Indexes 생계비 지수

Social security payments are given to qualifying individuals

COLA, Cost-of-Living Adjustment

Each year the benefit increases equal to the rate of increase of the Consumer Price Index (CPI)

Ratio of the present cost of typical bundle of

goods/services in comparison to the cost during a base period

(3)

Cost-of-Living Indexes

Does the CPI give a good measure of inflation and therefore a measure of the cost of living changes?

Should the CPI be used to measure how much cost of living has increased determining increases in government payment programs?

(4)

Cost-of-Living Indexes

The ideal cost of living index represents the cost of attaining a given level of utility at current prices relative to the cost of attaining the same utility at base prices

(5)

Cost-of-Living Indexes

To obtain the ideal cost of living index would require too much information such as consumer preferences as well as prices and expenditures

Actual price indexes are based on consumer purchases, not preferences

(6)

Cost-of-Living Indexes

To obtain the ideal cost of living index would require too much information such as consumer preferences as well as prices and expenditures

Actual price indexes are based on consumer purchases, not preferences

(7)

Laspeyres price index and Paasche price index

Laspeyres price index

Amount of money at current year prices that an

individual requires to purchase a bundle of goods and services chosen in a base year divided by the cost of purchasing the same bundle at base-year prices.

Paasche price index

Amount of money at current-year prices that an individual requires to purchase a current bundle of goods and services divided by the cost of purchasing the same bundle in a base year.

(8)

Cost-of-Living Indexes

The Laspeyres price index assumes that consumers do not alter their consumption patterns as prices change

Tend to overstate the true cost of living index

Using the CPI to adjust retirement benefits will tend to overcompensate most recipients requiring greater government expenditure

(9)

Individual Demand 개인수요

Price Changes

Using the figures developed in the previous chapter, the impact of a change in the price of food can be illustrated using indifference curves.

For each price change, we can determine how much of the good the individual would purchase given their budget lines and indifference curves

(10)

Individual Demand 개인수요

Price Changes

price-consumption curve 가격-소비곡선

Curve tracing the utility-maximizing combinations of two goods as the price of one changes

individual demand curve

Curve relating the quantity of a good that a single consumer will buy to its price.

(11)

Effect of a Price Change

Each price leads to different amounts of food purchased

5

U3 D

4

U2 B

12 20

Assume:

•I = 20 , PC = 2, PF = 2, 1, 0.50

Food (units per month) Clothing

6 A

U1

4 10

(12)

Effect of a Price Change

The Price-Consumption Curve traces out the utility maximizing market basket

for each price of food

4

U2 B

12 20 5

U3 D

Food (units per month) Clothing

6 A

U1

4 10

(13)

Effect of a Price Change

Demand Curve

Individual Demand relates the

quantity of a good that a consumer will buy to the price of that good.

Food (units per month)

Price of Food

H E

G 2.00

4 12 20 1.00

.50

(14)

Demand Curves: Important Properties

The level of utility that can be attained changes as we move along the curve.

At every point on the demand curve, the consumer is maximizing utility by satisfying the condition that

the MRS of food for clothing equals the ratio of the prices of food and clothing.

(15)

Individual Demand:

소득-수요 곡선

Income Changes

Using the figures developed in the previous chapter, the impact of a change in the income can be illustrated

using indifference curves.

Changing income, with prices fixed, causes consumer to change their market baskets.

The income-consumption curve 소득-수요 곡선

traces out the utility-maximizing combinations of food and clothing associated with every income level.

(16)

Effects of Income Changes

Food (units per month) Clothing

(units per month)

An increase in income, with the prices fixed, causes consumers to alter

their choice of market basket.

3

4

A U1

5

10

B U2

7 D

16

U3

Assume: Pf = 1, Pc = 2 I = 10, 20, 30

(17)

Individual Demand

Income Changes

An increase in income shifts the budget line to the right, increasing consumption along the income-consumption curve.

Simultaneously, the increase in income shifts the demand curve to the right.

(18)

Effects of Income Changes

Food (units per month) Clothing

(units per month)

The Income Consumption Curve traces out the utility maximizing market basket for each income level

3

4

A U1

5

10

B U2

7 D

16

U3

Income Consumption Curve

(19)

Effects of Income Changes

Food (units per month) Price

of food

An increase in income, from 10 to 20 to 30, with the prices fixed, shifts the consumer’s demand curve to the right as well.

1.00

4

D1

E

10

D2

G

16

D3

H

(20)

Normal Goods 정상재 versus Inferior Goods 열등재

When the income-consumption curve has a positive slope: The good is a normal good 정상재.

The quantity demanded increases with income.

The income elasticity of demand is positive.

When the income-consumption curve has a negative slope: The good is an inferior good 열등재.

The quantity demanded decreases with income.

The income elasticity of demand is negative.

(21)

An Inferior Good

Hamburger

(units per month) Steak

(units per month)

30

U3 C

Income-Consumption Curve

…but hamburger becomes an inferior good when the income

consumption curve bends backward between B and C.

5 10

A

U1

5

20 10

B

U2

Both hamburger and steak behave as a normal good, between A and B...

(22)

Individual Demand

Engel Curves 엔겔 곡선

Engel curves relate the quantity of good consumed to income.

If the good is a normal good, the Engel curve is upward sloping.

If the good is an inferior good, the Engel curve is downward sloping.

(23)

Engel Curves

Food (units per month)

30

10

Income ( per month)

20

4 8 12 16

Engel curves slope upward for normal goods.

(24)

Chapter 4 24

Engel Curves

Engel curves are backward bending for inferior goods.

Inferior

Normal

Food (units per month)

30

10

Income ( per month)

20

4 8 12 16

(25)

Substitutes 대체재 & Complements 보완재

Two goods are considered substitutes if an increase (decrease) in the price of one leads to an increase (decrease) in the quantity demanded of the other.

Ex: movie tickets and video rentals

Two goods are considered complements if an

increase (decrease) in the price of one leads to a decrease (increase) in the quantity demanded of the other.

Ex: gasoline and motor oil

(26)

Substitutes & Complements

Two goods are independent then a change in the price of one good has no effect on the quantity demanded of the other

Ex: chicken and airplane tickets

If the price consumption curve is downward-sloping, the two goods are considered substitutes.

If the price consumption curve is upward-sloping, the two goods are considered complements.

They could be both Substitutes & Complements.

(27)

Income and Substitution Effects

A change in the price of a good has two effects:

Substitution Effect 대체효과

Income Effect 소득효과

Substitution Effect

Relative price of a good changes when price changes

Consumers will tend to buy more of the good that has become relatively cheaper, and less of the good that is relatively more expensive.

(28)

Income and Substitution Effects

Income Effect

Consumers experience an increase in real purchasing power when the price of one good falls.

Substitution Effect

The substitution effect is the change in an item’s

consumption associated with a change in the price of the item, with the level of utility held constant.

When the price of an item declines, the substitution effect always leads to an increase in the quantity demanded of the good.

(29)

Income and Substitution Effects

Income Effect

The income effect is the change in an item’s consumption brought about by the increase in purchasing power,

with the price of the item held constant.

When a person’s income increases, the quantity

demanded for the product may increase or decrease.

Even with inferior goods, the income effect is rarely large enough to outweigh the substitution effect.

(30)

Income and Substitution Effects: Normal Good

Food (units per month) O

Clothing (units per

month) R

F1 S

C1 A

U1

The income effect, EF2, ( from D to B) keeps relative prices constant but

increases purchasing power.

Income Effect

C2

F2 T

U2

B

When the price of food falls,

consumption increases by F1F2 as the consumer moves from A to B.

Total Effect E

Substitution Effect

D

The substitution effect,F1E,

(from point A to D), changes the relative prices but keeps real income (satisfaction) constant.

(31)

Food (units per month) O

R

Clothing (units per month)

F1 S F2 T

A

U1

E

Substitution Effect

D

Total Effect

Since food is an inferior good, the income effect is negative. However, the substitution effect

is larger than the income effect.

B

Income Effect

U2

Income and Substitution

Effects: Inferior Good

(32)

Income and Substitution Effects

A Special Case--The Giffen Good

The income effect may theoretically be large enough to cause the demand curve for a good to slope upward.

This rarely occurs and is of little practical interest.

(33)

Market Demand

Market Demand Curves

A curve that relates the quantity of a good that all consumers in a market buy to the price of that good.

The sum of all the individual demand curves in the market

(34)

Summing to Obtain a

Market Demand Curve 시장수요곡선

Quantity

1 2 3 4 Price

0

5

5 10 15 20 25 30

DB DC

Market Demand

DA

The market demand curve is obtained by summing the consumer’s

demand curves

(35)

Market Demand

From this analysis one can see two important points

The market demand will shift to the right as more consumers enter the market.

Factors that influence the demands of many consumers will also affect the market demand.

Aggregation is important to be able to discuss demand for different groups

Households with children

Consumers aged 20 – 30, etc.

(36)

Market Demand

Price Elasticity of Demand

Measures the percentage change in the quantity demanded resulting from a percent change in price.

Q P P

Q P/P

Q/Q P

%

Q E

P

%

 

 

 

(37)

Price Elasticity of Demand

Inelastic Demand

Ep is less than 1 in absolute value

Quantity demanded is relative unresponsive to a change in price

%Q < %P

Total expenditure (P*Q) increases when price increases

(38)

Price Elasticity of Demand

Elastic Demand

Ep is greater than than 1 in absolute value

Quantity demanded is relative responsive to a change in price

%Q > %P

Total expenditure (P*Q) decreases when price increases

(39)

Price Elasticity of Demand

Isoelastic Demand

When price elasticity of demand is constant along the entire demand curve

Demand curve is bowed inward (not linear)

(40)

The Aggregate Demand For Wheat

The demand for U.S. wheat is comprised of two components

Domestic demand

Export demand

Total demand for wheat can be obtained by aggregating these two demands

(41)

The Aggregate Demand For Wheat

The domestic demand for wheat is given by the equation:

QDD = 1465 - 88P

The export demand for wheat is given by the equation:

QDE = 1344 - 138P

(42)

The Aggregate Demand For Wheat

Domestic demand is relatively price inelastic (Ed = - 0.2)

Export demand is more price elastic (Ed = -0.4).

Poorer countries that import US wheat turn to other grains and food if wheat prices increase

(43)

C

D

Export Demand

Total world demand is the horizontal sum of the domestic demand AB and

export demand CD.

F

Total Demand

A

B

Domestic Demand

E

The Aggregate Demand For Wheat

Wheat

Price

0

10 16 18

Above C, export demand is zero so domestic demand = total demand = AE segment

(44)

Consumer Surplus 소비자 잉여

Consumer Surplus 소비자 잉여

The difference between the maximum amount a

consumer is willing to pay for a good and the amount actually paid.

Can calculate consumer surplus from the demand curve

Consumers buy goods because it makes them better off

Consumer Surplus measures how much better off they are

(45)

Consumer Surplus - Example

Student wants to buy concert tickets

Demand curve tells us willingness to pay for each concert ticket

1st ticket worth 20 but price is 14 so student generates 6 worth of surplus

Can measure this for each ticket

Total surplus is addition of surplus for each ticket purchased

(46)

The consumer surplus of purchasing 6 concert tickets is the sum of the

surplus derived from each one individually.

Consumer Surplus

6 + 5 + 4 + 3 + 2 + 1 = 21

Consumer Surplus - Example

Rock Concert Tickets Price

( per ticket)

2 3 4 5 6

13

0 1

14 15 16 17 18 19 20

Market Price

Will not buy more than 7 because surplus is negative

(47)

Chapter 4 47

Demand Curve Consumer

Surplus

Consumer Surplus for the Market Demand

Consumer Surplus

Rock Concert Tickets Price

( per ticket)

2 3 4 5 6

13

0 1

Actual Expenditure

14 15 16 17 18 19 20

Market Price

CS = ½ ( 20 - 14)*(1600) = 19,500

(48)

Network Externalities 망(그물)외부성

Up to this point we have assumed that people’s demands for a good are independent of one another.

For some goods, one person’s demand also depends on the demands of other people

If this is the case, a network externality exists.

Network externalities can be positive or negative.

(49)

Network Externalities

A positive network externality 편승 또는 동승효과 exists if the quantity of a good demanded by a consumer

increases in response to an increase in purchases by other consumers.

Negative network externalities (The Snob Effect) 속물효과 are just the opposite.

(50)

Network Externalities

The Bandwagon Effect

This is the desire to be in style, to have a good because almost everyone else has it, or to indulge in a fad.

This is the major objective of marketing and advertising campaigns (e.g. toys, clothing).

Positive network externality in which a consumer wishes to possess a good in part because others do

(51)

Positive Network Externality:

Bandwagon Effect

동승효과

Quantity

(thousands per month)

Price

( per unit)

D20

20

When consumers believe more people have purchased the

product, the demand curve shifts further to the the right .

40 D40

60 D60

80 D80

100 D100

(52)

52

Positive Network

Externality: Bandwagon Effect

Quantity

(thousands per month)

Price

( per unit)

D20

20

The market demand curve is found by joining the points on the individual demand curves. It is relatively more elastic.

40 D40

60 D60

80 D80

100 D100

Demand

(53)

53

Positive Network

Externality: Bandwagon Effect

Quantity

(thousands per month)

Price

( per unit)

D20

20

Suppose the price falls from 30 to 20. If there were no bandwagon effect, quantity demanded would only increase to 48,000

40 D40

60 D60

80 D80

100 D100

Demand

But as more people buy the good, it becomes

stylish to own it and the quantity demanded

increases further.

30

48 20

Pure Price Effect

Bandwagon Effect

(54)

Network Externalities 속물효과

The Snob Effect 속물효과

If the network externality is negative, a snob effect exists.

The snob effect refers to the desire to own exclusive or unique goods.

The quantity demanded of a “snob” good is higher the fewer the people who own it.

(55)

Network Externality: Snob Effect

Quantity (thousands per month)

Price

( per unit)

2

Demand

D2

30,000

15,000

14

Originally demand is D2, when consumers think 2000 people have bought a good.

4 6 8

D4

D6 D8

However, if consumers think 4,000 people have bought the good, demand shifts from D2 to D6 and its

snob value has been reduced.

Pure Price Effect

(56)

Chapter 4 56

Network Externality: Snob Effect

Quantity (thousands per month)

Price

( per unit)

2

Demand

D2

30,000

15,000

14 4 6 8

D4

D6 D8

Pure Price Effect

The demand is less elastic and as a snob good its value is greatly

reduced if more people own it. Sales decrease as a result.

Examples: Rolex watches and long lines at the ski lift.

Net Effect

Snob Effect

(57)

Empirical Estimation of Demand

The most direct way to obtain information about demand is through interviews where consumers are asked how much of a product they would be willing to buy at a given price.

Problem

Consumers may lack information or interest, or be mislead by the interviewer.

In direct marketing experiments, actual sales offers are posed to potential customers and the responses of customers are observed.

(58)

Empirical Estimation of Demand

The Statistical Approach to Demand Estimation

Properly applied, the statistical approach to demand estimation can enable one to sort out the effects of variables on the quantity demanded of a product.

“Least-squares” regression is one approach.

Assuming only price determines demand:

Q = a - bP

Q = 28.2 -1.00P

(59)

Estimating Demand

Quantity

Price

0 5 10 15 20 25

15

10

5 25

20

d1

d2

d3 D

D represents demand if only P determines demand and then from the data: Q=28.2-1.00P

(60)

Estimating Demand – Changes in Income

Quantity

Price

0 5 10 15 20 25

15

10

5 25

20

D d1

d2

d3

d1, d2, d3 represent the demand for

each income level. Including income in the demand equation: Q = a - bP + cI or Q = 8.08 - .49P + .81I

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